Atkin-Lehner |
2+ 3- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126bh |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
7805952 |
Modular degree for the optimal curve |
Δ |
-2.8343598828584E+21 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 11+ 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7866126,8871480148] |
[a1,a2,a3,a4,a6] |
Generators |
[2291:52436:1] |
Generators of the group modulo torsion |
j |
-12808391413763617/674439727104 |
j-invariant |
L |
3.3809210981638 |
L(r)(E,1)/r! |
Ω |
0.14145947029258 |
Real period |
R |
0.99584507148708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997243914 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42042bx1 126126ca1 |
Quadratic twists by: -3 -7 |